What does madge rely on to persuade miller to accept her solution?

Math gsu.com 1st $150 2nd $90 3rd $50

The red badge of courage documents henry's growth and maturity as a soldier through the changes in his personality and behavior. during this transition, henry's emotions run the gamut from glory to fear to depression to anger to exhilaration to courage to honor. his personality and behavior move from innocence to experience, in essence from doubt to duty. henry's maturing process occurs very quickly. in the span of just a few days, henry experiences a lifetime's worth of growth — from his enlisting for self-centered reasons of glory, to the exhilaration of his first battle, to his running from his second battle for fear of being killed, and, ultimately, to his facing the enemy and leading a charge as he becomes one of the bravest soldiers in his regiment. several examples from the novel illuminate the changes which take place in henry's character and in their relationship to the themes of doubt and duty.

Are there any answers. if not i think it would be mysterious?